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2/June/2014 Advances in Radioactive Isotope Science (ARIS2014) the University of Tokyo

Ground-State Properties of Mg Isotopes in and beyond the Island of Inversion through Reaction Cross Sections. S. Watanabe A K. Minomo , M. Shimada, S. Tagami , B M. Kimura, C M. Takechi , D M. Fukuda, E D. Nishimura, F T. Suzuki, T. Matsumoto, Y. R. Shimizu, and M. Yahiro.

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2/June/2014 Advances in Radioactive Isotope Science (ARIS2014) the University of Tokyo

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  1. Ground-State Properties of Mg Isotopesin and beyond the Island of Inversion through Reaction Cross Sections S. Watanabe AK. Minomo, M. Shimada, S. Tagami, BM. Kimura, CM. Takechi, DM. Fukuda, ED. Nishimura, FT. Suzuki, T. Matsumoto, Y. R. Shimizu, and M. Yahiro 2/June/2014 Advances in Radioactive Isotope Science (ARIS2014) the University of Tokyo Kyushu Univ., ARCNP,BHokkaidoUniv., CNigata Univ., DOsakaUniv., ETokyoUniv. of Sci., FSaitama Univ.

  2. Nuclear deformation 1/12 • Usually, the deformation strength is determined from transition probabilities. rotation E2 • Measurements for unstable nuclei are not easy.

  3. Systematic measurement 2/12 • E(2+) and E(4+) were measured, for example, for Mg isotopes. P. Doornenbal et al., PRL111, 212502 (2013). Systematic measurements for E(2+), E(4+) are quite important to clarify the structure of unstable nuclei such as magicity. for example SEASTAR project Shell Evolution And Search for Two-plus energies At RIBF http://www.nishina.riken.jp/collaboration/SUNFLOWER/experiment/seastar/index.html Systematicmeasurements of σR in addition to E(2+) and E(4+)

  4. Deformation and σR 3/12 Nuclear deformation can be determined from σR. cf. Angular Momentum Projection Projectile （Spherical） Projectile (Deformed) Target（12C） Deformation enhances σR.

  5. Recent studies for 10Ne isotopes 4/12 Experiment • σIfor 20-32Newere measuredsystematically. M. Takechi et al., PLB 707, 357 (2012). 20-32Ne + 12C at 240MeV/nucleon Theory • σI were analyzed theoretically. AMD-RGM island of inversion • AMD + Double Folding Model 29-32Ne: Large deformation K. Minomo et al., PRL 108, 052503 (2012). 31Ne: Deformed halo AMD • Skyrme-HF + Glauber W. Horiuchi, PS1-B008 (June 3) spherical-HF W. Horiuchi et al., PRC 86, 024614 (2012). • Particle Rotor Model + Glauber Y. Urata et al., PRC 86, 044613 (2012). Exp. M. Takechi et al., PLB 707, 357 (2012).

  6. Motivation 1 (by measurements) 5/12 • In this talk, I analyze Mg isotopes from 24 to 40 with the microscopic framework. • Since, in the isotopes, precise measurements were recently made not only for σR but also for E(2+) and E(4+). M. Takechi et al., EPJ Web of Conferences 66, 02101 (2014). P. Doornenbal et al., PRL111, 212502 (2013). 24-40Mg

  7. Motivation 2 (theoretical points) 6/12 • Microscopic framework • AMD • Double Folding Model • Measurements • σR • E(2+) and E(4+) N=28 magicity? N=20 magicity? 24-40Mg Island of Inversion

  8. Microscopic framework 7/12 AMD (Antysimmetrized Molecular Dynamics) DFM (Double Folding Model) • Projectile densities • Optical potentials Energy variation Deformed density Initial state Projectile Target (12C) • Gogny D1S • Angular Momentum Projection • Generator Coordinate Method • Melbourne g-matrix Masaaki Kimura, (Next speaker) Shape Coexistence in the vicinity of 44S We calculate various observables microscopically.

  9. Results: σR for Mg (Z=12) 8/12 AMg+12C, Elab=240MeV/nucleon • Deformation effect is significant for σR. due to deformation 37Mg? • AMD well reproduces the measured σR. AMD (w/ deformation) • For 37Mg, AMD underestimates the experimental data. spherical-HF (w/o deformation) • “Deformed halo”? Maya Takechi, PS2-A017 in Poster Session 2 (June 5) Exp. M. Takechi, EPJ Web of Conferences 66, 02101 (2014).

  10. AMD results for Mg isotopes 9/12 • AMD is applied to calculate E(2+), E(4+), B.E./nucleon, and Sn. preliminary E(4+) B.E./nucleon E(2+) Exp. P. Doornenbal et al., PRL111, 212502 (2013). Sn AMD is highly reliable particularly for β2. Exp.G. Audi et al., Chin. Phys. C 36, 1157 (2012).

  11. β2 for Ne and Mg isotopes 10/12 N=20 N=28 N=20 N=28 Peninsula of large deformation 12 Deformation by AMD 10 • Big jump of σR from N=18 to 19 • From big jump of β2 Entrance of the island of inversion • Deformation keeps large uptoN=28. • Consistent with E(4+)/E(2+)〜3.1 P. Doornenbal et al., PRL111, 212502 (2013). Exp. M. Takechi, EPJ Web of Conferences 66, 02101 (2014). M. Takechi et al., PLB 707, 357 (2012). “Peninsula of large deformation”

  12. Peninsula of large deformation 11/12 N=28 magicity? N=20 magicity? Peninsula of large deformation N=20 and N=28 magicities may disappear.

  13. Summary 12/12 We have analyzed Mg isotopes with the microscopic framework. • As an experimental tool of probing the deformation strength, measurements of σRare also quite useful in addition to measurements of 2+ and 4+ excitation energies. ​ • AMD calculations reproduce experimental data on σR, E(2+) and E(4+), B.E. and Sn systematically.Therefore, AMD is highly reliable. • AMD calculations show that the island of inversion starts with N=19 and there exists a “peninsula of large deformation” between N=19 to 28.

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